Semihypergroup-Based Graph for Modeling International Spread of COVID-n in Social Systems
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Graph theoretic techniques have been widely applied to model many types of links in social systems. Also, algebraic hypercompositional structure theory has demonstrated its systematic
application in some problems. Influenced by these mathematical notions, a novel semihypergroup based graph (SBG) of G = hH, Ei is constructed through the fundamental relation gn on H, where semihypergroup H is appointed as the set of vertices and E is addressed as the set of edges on SBG. Indeed, two arbitrary vertices x and y are adjacent if xgny. The connectivity of graph G is characterized by xg y, whereby the connected components SBG of G would be exactly the elements of the fundamental group H/g . Based on SBG, some fundamental characteristics of the graph such as complete, regular, Eulerian, isomorphism, and Cartesian products are discussed along with illustrative examples to clarify the relevance between semihypergroup H and its corresponding graph. Furthermore, the notions of geometric space, block, polygonal, and connected components are introduced in terms of the developed SBG. To formulate the links among individuals/countries in
the wake of the COVID (coronavirus disease) pandemic, a theoretical SBG methodology is presented to analyze and simplify such social systems. Finally, the developed SBG is used to model the trend diffusion of the viral disease COVID-n in social systems (i.e., countries and individuals).
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graph theory
hypergroup
fundamental relation
social systems
geometric space
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true
true
false
Angleški jezik
Neznan jezik
Delo ni kategorizirano
2022-11-23 10:13:59
2022-11-23 11:29:49
2022-11-24 03:01:51
2022
0
0
13
10
23
2022
0000-00-00
Zaloznikova
NiDoloceno
130606595
URN:SI:UNG:REP:7VQRISAJ
https://doi.org/10.3390/math10234405
Univerza v Novi Gorici